On the Borsuk-Ulam Theorem for Lipschitz Mappings on an Infinite-Dimensional Space

被引：0
|
作者：
B. D. Gel’man
机构：
[1] Voronezh State University,
[2] Peoples’ Friendship University of Russia,undefined
来源：
Functional Analysis and Its Applications | 2019年 / 53卷
关键词：
surjective operator; contraction mapping; Lipschitz constant; topological dimension;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The solvability of the equation A(x) = f(x) on the sphere of a Hilbert space and the dimension of its solution set are studied in the case where A is a closed surjective operator and f is an odd Lipschitz mapping. A kind of analogue of the infinite-dimensional version of the Borsuk-Ulam theorem is obtained.
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页码：61 / 64
页数：3
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